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Finding the Fourth Proportional to 733.70, 1,012.34 and 665.63

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Solution

The fourth proportional to 733.70, 1,012.34 and 665.63 is: 918.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.70 : 1,012.34 = 665.63 : x
  2. Step 2: Convert to fraction form
    733.70/1,012.34 = 665.63/x
  3. Step 3: Cross multiply
    733.70x = 1,012.34 × 665.63
  4. Step 4: Simplify right side
    733.70x = 673,848.07
  5. Step 5: Solve for x
    x = 673,848.07/733.70
  6. Step 6: Final answer
    x = 918.42

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.